44.7k views
3 votes
The data in the table to the left shows the Olympic 500-meter gold medal speed skating times. find the line of best fit

User Mikijov
by
8.6k points

1 Answer

4 votes

Final answer:

To find the line of best fit, we can use the median-median approach. We calculate the median of the x-values and y-values, find the median difference, and use it to find the y-intercept and slope.

Step-by-step explanation:

In order to find the line of best fit, we can use the median-median approach. First, we calculate the median of the x-values and the median of the y-values. Then, we find the median difference by subtracting the median y-value from each y-value and the median x-value from each x-value. Next, we calculate the median of the differences and use it to find the y-intercept. Finally, we use the slope formula to find the slope of the line. With the y-intercept and the slope, we can write the equation for the line of best fit.

For example, let's say the median of the x-values is 1990 and the median of the y-values is 34.72. The differences would be: -0.6, 0.02, -0.7, -0.14, -0.58, 0.02, 0.46, -0.14, -0.34, -0.14. The median difference is then -0.14. Using this information, we can calculate the y-intercept and the slope, and write the equation for the line of best fit.

User StevenWernerCS
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.